A model for the $eN \rightarrow e\Delta\pi$ reaction

We have extended a model for the gamma N -> pi pi N reaction to virtual photons and selected the diagrams which have a Delta in the final state. With this model we have evaluated cross sections for the virtual photon cross section as a function of Q^2 for different energies. Averages over Q^2 are then made to compare with available data and the agreement found with the gamma_v p -> Delta^0 pi^+ and gamma_v p -> Delta^{++} pi^- reactions is good. The present reaction, selecting a particular final state, is a good filter for the general gamma_v N -> pi pi N amplitude and hence a test of models for this reaction. The experimental measurement of the different isospin channels for this reaction are encouraged as a means to unravel the dynamics of the two pions photoproduction processes